How Does Synchrotron Radiation Influence Observations in Radio Astronomy?

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I read in radio astronomy book that radiation from high-energy electrons radiating synchrotron emision, is concentrated in the direction of its instantaneous motion. So if we see them, their orbital motion plane contains us(as observer). I am wondering if they have spiral motion in the related magnetic field, their orbital motion plane is moving instantaneously. So how are we observing their radiation continiously?
 
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There are a huge (real huge!) number of electrons all spiraling around the magnetic field and all in different points of their orbits. So there are always some pointing at us.
 
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Thanks!
 

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